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Simplifying 1.6 + -1(x + -2.8) = (0.2x + 1.5) + -0.7 Reorder the terms: 1.6 + -1(-2.8 + x) = (0.2x + 1.5) + -0.7 1.6 + (-2.8 * -1 + x * -1) = (0.2x + 1.5) + -0.7 1.6 + (2.8 + -1x) = (0.2x + 1.5) + -0.7 Combine like terms: 1.6 + 2.8 = 4.4 4.4 + -1x = (0.2x + 1.5) + -0.7 Reorder the terms: 4.4 + -1x = (1.5 + 0.2x) + -0.7 Remove parenthesis around (1.5 + 0.2x) 4.4 + -1x = 1.5 + 0.2x + -0.7 Reorder the terms: 4.4 + -1x = 1.5 + -0.7 + 0.2x Combine like terms: 1.5 + -0.7 = 0.8 4.4 + -1x = 0.8 + 0.2x Solving 4.4 + -1x = 0.8 + 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. 4.4 + -1x + -0.2x = 0.8 + 0.2x + -0.2x Combine like terms: -1x + -0.2x = -1.2x 4.4 + -1.2x = 0.8 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 4.4 + -1.2x = 0.8 + 0.0 4.4 + -1.2x = 0.8 Add '-4.4' to each side of the equation. 4.4 + -4.4 + -1.2x = 0.8 + -4.4 Combine like terms: 4.4 + -4.4 = 0.0 0.0 + -1.2x = 0.8 + -4.4 -1.2x = 0.8 + -4.4 Combine like terms: 0.8 + -4.4 = -3.6 -1.2x = -3.6 Divide each side by '-1.2'. x = 3 Simplifying x = 3
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